Term
|
Definition
|
|
Term
| Probability of finding a particle between a and b at time t |
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
| Calculating expectation values for < x > and < x^2 > shortcuts |
|
Definition
odd function with x -> goes to 0
even function -> double and change bounds |
|
|
Term
|
Definition
|
|
Term
| E_n for infinite square well |
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
[image]
f(x) is the wavefunction (generic) |
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
| Probability of states in well |
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
| Observables are represented by |
|
Definition
|
|
Term
|
Definition
|
|
Term
| Eigenvalue eqn for Q operator |
|
Definition
Q Ψ = q Ψ
Ψ = eigenfunction
q = eigenvalue |
|
|
Term
| Integration by parts formula |
|
Definition
|
|
Term
| Normalizeable eigenfunctions of a hermitian operator |
|
Definition
| are orthogonal (int f*g = 0) and their eigenvalues are real |
|
|
Term
| Expectation value of Q_op |
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
| Generalized uncertainty principle |
|
Definition
|
|
Term
| The system is initially in state (a+), and you want probability of (b-) |
|
Definition
|
|
Term
| Allowed energy for a hydrogen atom |
|
Definition
|
|
Term
| Label spacial wavefunctions for hydrogen |
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
| What quantum numbers are "allowed" for a given n? |
|
Definition
l = 0,1,2,...,n -1
m_l = -l,-l+1,...,0,...,l-1,l
m_s = ±1/2 |
|
|
Term
| Hamiltonian in perturbation theory |
|
Definition
|
|
Term
| Superscripts in perturbation theory |
|
Definition
| Order. Ex: H^0 first order |
|
|
Term
| First order energy correction |
|
Definition
[image]
This is an integral H' * Psi^2
Can also be X (eigenstate) |
|
|
Term
| First order wavefunction correction |
|
Definition
|
|
Term
| Two non interacting particles wavefunction |
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
| Atom placed in uniform external B field |
|
|
